Suppose a certain study reported that 27.7% of high school students smoke. Random samples are selected from high school that has 632 students.
(i) If a random sample of 60 students is selected, what is the probability that
fewer than 19 of the students smoke?
(ii) If a random sample of 75 students is selected, what is the probability that
more than 17 of the students smoke?

The correct answer of the question is "0.7062" and "0.835". The further solution is provided below.

Given:

Probability of student smoke,

P = 27.7%

  = 0.277

Number of students (n) = 632

(i)

Here,

Number of students (n) = 60

then,

⇒

⇒

We can see that and so the normal approximation condition are met.

Now,

Now,

⇒

The Z-score is:

=

=

hence,

The probability will be:

⇒

or,

⇒

(ii)

Here,

Number of students (n) = 75

Now,

⇒

The Z-score is:

=

=

then,

hence,

The probability will be:

⇒

Learn more about Probability here:

its an acute right triangle

step-by-step explanation:

i need a picture

step-by-step explanation: